Unlock document.
This document is partially blurred.
Unlock all pages and 1 million more documents.
Get Access
Stewart_Calc_7ET ch07sec03
MULTIPLE CHOICE
1. Find the integral using an appropriate trigonometric substitution.
a.
b.
c.
d.
2. Evaluate the integral using the indicated trigonometric substitution.
a.
b.
c.
d.
e.
3. Find the integral using an appropriate trigonometric substitution.
a.
b.
c.
d.
4. Find the integral using an appropriate trigonometric substitution.
a.
b.
c.
d.
5. Find the integral using an appropriate trigonometric substitution.
a.
b.
c.
d.
6. Evaluate the integral using an appropriate trigonometric substitution.
a.
b.
c.
d.
NUMERIC RESPONSE
1. Evaluate the integral using the indicated trigonometric substitution.
2. Evaluate the integral to six decimal places.
3. Evaluate the integral.
4. Find the area of the region bounded by the hyperbola and the line .
5. A torus is generated by rotating the circle about the x-axis. Find the volume
enclosed by the torus. Round the answer to the nearest hundredth.
6. A water storage tank has the shape of a cylinder with diameter 10 ft. It is mounted so that the circular
cross-sections are vertical. If the depth of the water is 9 ft, what percentage of the total capacity is
being used? Round the answer to the nearest tenth.
SHORT ANSWER
1. Evaluate the integral using an appropriate trigonometric substitution.
2. Evaluate the integral using an appropriate trigonometric substitution.
3. Find the integral using an appropriate trigonometric substitution.
